Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 90, Issue -, Pages 258-277Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2014.11.018
Keywords
Composite structures; Laminated plates; Finite element; Vibration; Analytical sensitivity
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This paper describes an analytical method to calculate the sensitivity of the frequencies and modes with respect to fibre volume fractions and orientations, for the large-scale composite laminated structures with complex boundaries. Structural stiffness, mass matrices and their first derivatives with respect to fibre volume fractions and orientations are derived based on classical laminated plate theory and nonconforming rectangular element theory. The analytical sensitivity of the frequencies and modes with respect to fibre volume fractions and orientations is formulated based on vibration theory. Finally, the sensitivity analysis of the dynamic characteristics of T-shape and square composite laminated plates is demonstrated using the proposed analytical method. The accuracy and efficiency of the proposed method are also discussed. The proposed method can be employed to analyze the sensitivity of the frequencies and modes for the composite laminated structures. (C) 2014 Elsevier Ltd. All rights reserved.
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